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SSC CPO 2023 PYQ — Question 114

SSC CPO - 03 Oct 2023 - Shift 2 • Quantitative Aptitude • Q114

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Simplify the given expression

a2−b2−2bc−c2a2+b2+2ab−c2 {{a^2 - b^2 -2bc-c^2} \over a^2 + b^2 +2ab-c^2}

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. a−b−ca+b−c{{a-b-c} \over a+b-c}

Formula used:

(a + b)2 = a2 + b2 + 2ab

(a2 - b2) = (a + b)(a - b)

Calculations:

⇒ (a2 - b2 - 2bc - c2)/(a2 + b2 + 2ab - c2)

Using the above formula, we get;

⇒ (a2 - (b + c)2)/((a + b2) - c2)

⇒ [(a + b + c)(a - (b + c))]/[(a + b + c)(a + b - c)]

⇒ (a - b - c)/(a + b - c)